Answer:
18
Step-by-step explanation:
The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18
The answer:
the complement of the question is as follow
What is the scale factor of the dilation?
when we look at the image,
UV and U'V' are parallels, and (A, U V) and (A, U' V') are aligned points
so we can apply thales theorem
AV/AV' = AU / AU'= VU /V'U'= 3.2+4.8/ 3.2= 8/3.2
so VU / V'U'= 8/3.2, the image is formed by a reduction
VU = 8/3.2 V'U', so k=8/3.2
the scale factor of the dilation is k=8/3.2
43.75 divided by 7 is 6.25, thus your answer is 6.25 hours
Answer:
6i^2-12i
Step-by-step explanation:
3i×2i =6i^2
3i×4 =12i
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
and to calculate probabilities, we will have to integrate it:
Solving:
Then:
a. P(X < 5)
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
P(5 < X < 7) = 0.273
d. P(X > 3)
P (X > 3) = 0.683
e. P(X < x) = 0.95
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.